3484293992401 has 2 divisors, whose sum is σ = 3484293992402. Its totient is φ = 3484293992400.

The previous prime is 3484293992323. The next prime is 3484293992407. The reversal of 3484293992401 is 1042993924843.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3002859231376 + 481434761025 = 1732876^2 + 693855^2 .

It is a cyclic number.

It is not a de Polignac number, because 3484293992401 - 2¹⁹ = 3484293468113 is a prime.

It is not a weakly prime, because it can be changed into another prime (3484293992407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1742146996200 + 1742146996201.

It is an arithmetic number, because the mean of its divisors is an integer number (1742146996201).

Almost surely, 2^{3484293992401} is an apocalyptic number.

It is an amenable number.

3484293992401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3484293992401 is an equidigital number, since it uses as much as digits as its factorization.

3484293992401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13436928, while the sum is 58.

The spelling of 3484293992401 in words is "three trillion, four hundred eighty-four billion, two hundred ninety-three million, nine hundred ninety-two thousand, four hundred one".